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Finding the Fourth Proportional to 12,151.73, 16,769.46 and 6,846.65

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Solution

The fourth proportional to 12,151.73, 16,769.46 and 6,846.65 is: 9,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,151.73 : 16,769.46 = 6,846.65 : x
  2. Step 2: Convert to fraction form
    12,151.73/16,769.46 = 6,846.65/x
  3. Step 3: Cross multiply
    12,151.73x = 16,769.46 × 6,846.65
  4. Step 4: Simplify right side
    12,151.73x = 114,814,623.31
  5. Step 5: Solve for x
    x = 114,814,623.31/12,151.73
  6. Step 6: Final answer
    x = 9,448.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.